The accompanying data represent the miles per gallon of a random sample of cars with a​ three-cylinder, 1.0 liter engine.
​(a)
Compute the​ z-score corresponding to the individual who obtained 38.0 miles per gallon. Interpret this result.
​(b)
Determine the quartiles.
​(c)
Compute and interpret the interquartile​ range, IQR.
​(d)
Determine the lower and upper fences. Are there any​ outliers?
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Part 1
​(a) Compute the​ z-score corresponding to the individual who obtained 38.0 miles per gallon. Interpret this result.
The​ z-score corresponding to the individual is

negative . 21 and indicates that the data value is

. 21 standard​ deviation(s)
below
the
median.
​(Type integers or decimals rounded to two decimal places as​ needed.)
The z-score corresponding to the individual isand indicates that the data value isand indicates that the data value isstandard deviation(s)standard deviation(s)thethe(Type integers or decimals rounded to two decimal places as needed.)
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MPG Data
32.8
35.9
37.8
38.6
40.2
42.3

34.6
36.3
38.0
39.0
40.5
42.4
34.8
37.3
38.1
39.4
41.4
43.3
35.5
37.5
38.5
39.5
41.7
48.9